Algebra 2 Normal Curve Analysis Practice

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Presentation transcript:

Algebra 2 Normal Curve Analysis Practice The mean and standard deviation are given for several classes below. For each one, set up and label a normal curve for each data set including the mean and 3 standard deviation marks on each side. Then for each curve give the test score range that would account for 68%, 95% and 99.7% of the scores. 1. Class 1 : mean = 84 and standard deviation = 4 68% = __________ 95% = __________ 99.7% = ___________ 2. Class 2: mean = 79 and standard deviation = 6. 3. Class 3 mean = 73 and standard deviation = 8 99.7% = __________ 4. Class 4 mean = 82 and standard deviation = 5 5. Class 5 mean = 76 and standard deviation = 7 95% = __________ 99.7% = __________ 6. Class 6 mean = 88 and standard deviation = 3 95% = __________ 99.7% = __________

Use the graph from #3 above to answer to find what percentage of the data is in each range given below. 7. Greater than 65 8. Between 57 and 81 9. Between 65 and 97 10. Greater the 89 11. Less than 81 12. Between 73 and 97 Use the graph from #6 above to answer to find what percentage of the data is in each range 13. Less than 91 14. Between 82 and 97 15. Greater than 91 16. Between 79 and 88 17. Less than 94 18. Between 85 and 97

Normal Curve Percentages The mean and standard deviation are given for a class below. Set up and label a normal curve for the data set including the mean and 3 standard deviation marks on each side. Then give the test score range that would account for 68%, 95% and 99% of the scores. 1. Class 1 : mean = 74 and standard deviation = 9 68% = __________ 95% = __________ 99% = ___________ Use your curve above to tell what percentage is: Greater than 65? Between 56 and 101? Between 47 and 74? Less than 92? Greater than 83? Less than 74?

Standard Normal Curve .15% 2.35% 13.5% 34% 34% 13.5% 2.35% .15% .15% 2.35% 13.5% 34% 34% 13.5% 2.35% .15% -3 -2 -1 0 1 2 3 x - 3 x - 2 x -  x x +  x + 2 x + 3 x = mean of data set  = standard deviation of data set Important % ranges for NORMAL CURVE DATA: Between -1 and 1 = 68% of the data(or the “middle 68%”) Between -2 and 2 = 95% of the data Between -3 and 3 = 99.7% of the data

EXAMPLES Finding Standard Normal Curve Percentages The mean and standard deviation are given for a class below. Set up and label a normal curve for the data set including the mean and 3 standard deviation marks on each side. Then give the test score range that would account for 68%, 95% and 99% of the scores. 1. Class 1 : mean = 75 and standard deviation = 5 68% = __________ 95% = __________ 99% = ___________ Use the curve above to tell what percentage is: Less than 85? Greater than 70? Between 60 and 80? Greater than 80? Less than 70? 7. Between 75 and 90?

EXAMPLES(cont) Finding Standard Normal Curve Percentages The mean and standard deviation are given for a class below. Set up and label a normal curve for the data set including the mean and 3 standard deviation marks on each side. Then give the test score range that would account for 68%, 95% and 99% of the scores. 8. Class 2 : mean = 67 and standard deviation = 11 68% = __________ 95% = __________ 99% = ___________ Use the curve above to tell what percentage is: 9. Greater than 78? 10. Between 56 and 100? 11. Less than 89? 12. Between 45 and 78? 13. Greater than 56? 14. Less than 45?